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Finding the Fourth Proportional to 1,270.08, 1,897.92 and 1,224

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Solution

The fourth proportional to 1,270.08, 1,897.92 and 1,224 is: 1,829.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,270.08 : 1,897.92 = 1,224 : x
  2. Step 2: Convert to fraction form
    1,270.08/1,897.92 = 1,224/x
  3. Step 3: Cross multiply
    1,270.08x = 1,897.92 × 1,224
  4. Step 4: Simplify right side
    1,270.08x = 2,323,054.08
  5. Step 5: Solve for x
    x = 2,323,054.08/1,270.08
  6. Step 6: Final answer
    x = 1,829.06

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.